253986144 has 96 divisors (see below), whose sum is σ = 688764384. Its totient is φ = 81899520.

The previous prime is 253986113. The next prime is 253986151. The reversal of 253986144 is 441689352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×253986144² = 129017922687977472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 253986096 and 253986105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680742 + ... + 681114.

It is an arithmetic number, because the mean of its divisors is an integer number (7174629).

Almost surely, 2^253986144 is an apocalyptic number.

253986144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253986144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344382192).

253986144 is an abundant number, since it is smaller than the sum of its proper divisors (434778240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253986144 is a wasteful number, since it uses less digits than its factorization.

253986144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 253986144 is about 15936.9427431989. The cubic root of 253986144 is about 633.2910371261.

The spelling of 253986144 in words is "two hundred fifty-three million, nine hundred eighty-six thousand, one hundred forty-four".